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ladessa [460]
3 years ago
5

How do u find the domain to the first one

Mathematics
1 answer:
Kay [80]3 years ago
5 0

Answer:

The domain is (-infinity, -3) ∪ (-3, 3) ∪ (3, infinity)

Step-by-step explanation:

This function is defined for all t such that the denominatory t^2 - 9 is not zero (0).  Purposely setting t^2 - 9 = 0, we find that t = 3 or t = -3.

This function defined everywhere except at {-3, 3}.

The domain is (-infinity, -3) ∪ (-3, 3) ∪ (3, infinity)

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3 years ago
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3 years ago
You have purchased a mobile home for $20,000 which depreciates at 10% per year.
iragen [17]

Answer:

  C.  Three

Step-by-step explanation:

We want to solve the equation for n:

  14,580 = 20,000(9/10)^n

  14580/20000 = 729/1000 = (9/10)^n

  (9/10)^3 = (9/10)^n . . . . . . write the left side as a cube

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After year 3, the value will be $14,580.

_____

You can use logarithms to find n:

  log(0.729) = n×log(0.9) . . . . . . taking the log of the 2nd line above

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8 0
3 years ago
X S2.0.2
dexar [7]

9514 1404 393

Answer:

  • 320 m after 8 seconds
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Step-by-step explanation:

To find the height at 8 seconds, evaluate the formula for t=8.

  S(t) = -5t^2 +80t

  S(8) = -5(8^2) +80(8) = -320 +640 = 320

The height of the rocket is 320 meters 8 seconds after takeoff.

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To find the time to 290 meters height, solve ...

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  -58 = t^2 -16t . . . . . . . divide by -5

  6 = t^2 -16t +64 . . . . . complete the square by adding 64

  ±√6 = t -8 . . . . . . . . . take the square root

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The rocket is at 290 meters height after 5.6 seconds and again after 10.4 seconds.

8 0
3 years ago
Find the cube root of 10 upto 5 signaficant figures by newton raphson method
PSYCHO15rus [73]

Answer: The cube root of 10 is 2.1544 using an Xo value of -0.003723

Step-by-step explanation: The Newton-Raphson is a root finding method and its formula is NR: X=Xo-(f(x)/f'(x). Once you have the equation you also need to find the derivative of that equation before applying the formula. Since the problem stated that X =10, the method was applied to find the best root in order to find the cube root of 10 up to 5 significant figures. The best method is to use a software like Excel that helps you calculate those iterations faster. The root finding for this example was -0.003723.

6 0
3 years ago
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